Question: (a) Given that f(x, y) = 6x?y - cosx + 5y siny + 10x, establish the fact that, the order in which the mixed

(a) Given that f(x, y) = 6x?y - cosx + 5y siny

(a) Given that f(x, y) = 6x?y - cosx + 5y siny + 10x, establish the fact that, the order in which the mixed partials derivatives are taken is immaterial. (b) (i)Find the continuous function whose Laplace Transform is F(p) = P(p+4) (ii) Determine L' (P-3)2+16 (c) Find the solution of the IVP; 2y" - y'-3y = 4x2e* y(0) = -1. y'(0) = -2

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